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Finding the Fourth Proportional to 150,683.50, 207,952.95 and 83,615.50

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Solution

The fourth proportional to 150,683.50, 207,952.95 and 83,615.50 is: 115,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,683.50 : 207,952.95 = 83,615.50 : x
  2. Step 2: Convert to fraction form
    150,683.50/207,952.95 = 83,615.50/x
  3. Step 3: Cross multiply
    150,683.50x = 207,952.95 × 83,615.50
  4. Step 4: Simplify right side
    150,683.50x = 17,388,089,890.73
  5. Step 5: Solve for x
    x = 17,388,089,890.73/150,683.50
  6. Step 6: Final answer
    x = 115,394.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.